1480384512 has 280 divisors, whose sum is σ = 4662470736. Its totient is φ = 467140608.

The previous prime is 1480384511. The next prime is 1480384513. The reversal of 1480384512 is 2154830841.

It is an interprime number because it is at equal distance from previous prime (1480384511) and next prime (1480384513).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480384511) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15261648 + ... + 15261744.

Almost surely, 2^1480384512 is an apocalyptic number.

1480384512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331235368).

1480384512 is an abundant number, since it is smaller than the sum of its proper divisors (3182086224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1480384512 is an frugal number, since it uses more digits than its factorization.

1480384512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1480384512 is about 38475.7652555475. The cubic root of 1480384512 is about 1139.7025262615.

The spelling of 1480384512 in words is "one billion, four hundred eighty million, three hundred eighty-four thousand, five hundred twelve".